Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5650 and 5654 the smallest integer that is 15972550 that is divisible by both numbers.
Least Common Multiple (LCM) of 5650 and 5654 is 15972550.
LCM(5650,5654) = 15972550
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5650 and 5654. First we will calculate the prime factors of 5650 and 5654.
Prime Factorization of 5650
2 | 5650 |
5 | 2825 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 5650 are 2, 5,113. Prime factorization of 5650 in exponential form is:
5650 = 21×52×1131
Prime Factorization of 5654
2 | 5654 |
11 | 2827 |
257 | 257 |
1 |
Prime factors of 5654 are 2, 11,257. Prime factorization of 5654 in exponential form is:
5654 = 21×111×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 5650 and 5654.
LCM(5650,5654) = 21×52×111×1131×2571
LCM(5650,5654) = 15972550
Factors of 5650
List of positive integer factors of 5650 that divides 5650 without a remainder.
1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650
Factors of 5654
List of positive integer factors of 5654 that divides 5654 without a remainder.
1, 2, 11, 22, 257, 514, 2827, 5654
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5650 and 5654, than apply into the LCM equation.
GCF(5650,5654) = 2
LCM(5650,5654) = ( 5650 × 5654) / 2
LCM(5650,5654) = 31945100 / 2
LCM(5650,5654) = 15972550
(i) The LCM of 5654 and 5650 is associative
LCM of 5650 and 5654 = LCM of 5654 and 5650
1. What is the LCM of 5650 and 5654?
Answer: LCM of 5650 and 5654 is 15972550.
2. What are the Factors of 5650?
Answer: Factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650. There are 12 integers that are factors of 5650. The greatest factor of 5650 is 5650.
3. What are the Factors of 5654?
Answer: Factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654. There are 8 integers that are factors of 5654. The greatest factor of 5654 is 5654.
4. How to Find the LCM of 5650 and 5654?
Answer:
Least Common Multiple of 5650 and 5654 = 15972550
Step 1: Find the prime factorization of 5650
5650 = 2 x 5 x 5 x 113
Step 2: Find the prime factorization of 5654
5654 = 2 x 11 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15972550 = 2 x 5 x 5 x 11 x 113 x 257
Step 4: Therefore, the least common multiple of 5650 and 5654 is 15972550.